Diagonal operators, approximation numbers, and Kolmogoroff diameters

DOI10.1016/0021-9045(76)90095-2zbMath0325.46028OpenAlexW1974693004MaRDI QIDQ1225288

J. S. Morrell, C. V. Hutton, James R. Retherford

Publication date: 1976

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90095-2

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Matrices and n-widths, Rate of decay of \(s\)-numbers, On the relation between linear n-widths and approximation numbers, On exact values of \(n\)-widths in a Hilbert space, Approximation characteristics for diagonal operators in different computational settings, Approximation numbers of Sobolev imbeddings over unbounded domains, The distance of a subspace of \(R^ m\) from its axes and n-widths of octahedra, Asymptotic estimates for \(n\)-width of fuzzy numbers

Cites Work

• Diagonal nuclear maps in sequence spaces
• The \(L_ p\) spaces
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
• Projections in certain Banach spaces
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Approximation numbers and Kolmogoroff diameters of bounded linear operators
• Lattice bounding, Radonifying and summing mappings
• Absolut p-summierende Abbildungen in normierten Räumen
• A characterization of Hilbert-Schmidt operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Diagonal Nuclear Operators on l p Spaces
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space
• p-trivial Banach spaces
• On a theorem of L. Schwartz and its applications to absolutely summing operators
• Applications p-radonifiantes et théorème de dualité
• Tensor Product Bases and Tensor Diagonals
• ANALOGS OF WEYL INEQUALITIES AND THE TRACE THEOREM IN BANACH SPACE
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
• Produits tensoriels topologiques et espaces nucléaires
• A Theory of Cross-Spaces. (AM-26)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item